Answer:
0riginal price = 4900
Step-by-step explanation:
294 = 6%
294/6 = 49 49 = 1%
49 x 100 = 4900
0riginal price = 4900
A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?
I need some help on this one, anyone know?
The number of combinations will be 6 for even numbers.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
Given that:-
A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.
The even numbers are 0,2,4.
The combinations will be given by:-
C = 3!
C = 3 x 2 x1
C = 6
Therefore the number of combinations will be 6 for even numbers.
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The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?
The true statement is the circle has the radius equal to 7.
What is Equation of circle?The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.
As, standard form of equation of circle is
(x-h)² + (y-k)² = r²
At origin, equation of circle will be
(0-h)² + (0-k)² = r²
r² = x² + y²
Now, The line intersects the circle at (0,7)
r² = 0² + 7²
r² =49
r=7.
Hence, the circle has the radius equal to 7.
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Please help! Both questions are in the photo. Thank you so much!
The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467
The probability that a 4 shows upFrom the list of numbers, we have:
Sides = 5 i.e. numbers 1 to 5n(4) = 1 i.e. sides labelled 4The probability that a 4 shows up is then calculated as:
P = n(4)/Sides
This gives
P = 1/5
Evaluate
P = 0.2
The proportion of 3's rolledIn the list of numbers, we have:
Total = 15Number of 3's = 7The proportion of 3's rolled is then calculated as:
P = Number of 3's/Total
This gives
P = 7/15
Evaluate
P = 0.467
Hence, the proportion of 3's rolled is 0.467
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how many nonisomorphic spanning trees does each of these simple graphs have
The characteristics of a nonisomorphic spanning tree are:
One would have 3 vertices of degree 2 and 2 of degree 1, Another spanning tree would have one vertex of degree three, The third spanning tree would have one vertex of degree four.4What is Nonisomorphic?This refers to the quality of a group of things not having the same form and is popularly used in mathematics to show and make identifications of maths objects that are structurally well-defined.
Hence, we can see that your question is incomplete so I gave you a general overview of the topic for better understanding.
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Lila and mick have pets. lila's pet has 6.73 toy bones. mick's pet has 5 times the many toy bones lila has. how many bones does mick's pet have?
Answer:33.65
Step-by-step explanation:
6.73 x 5= 33.65
1+1= 2+1= 3+1= 4 so that is the answer to this difficult sum
Answer:
2 = 3 = 4 = 4
Find y
y
A.4
B. 4√2
C. 8
D. 2√2
X
30°
4√3
Step-by-step explanation:
z = 4√3
y = ?
Z° = 90° - 30° = 60°
Y° = 30°
• Find y.
y/sin(Y) = z/sin(Z)
y/sin(30°) = 4√3/sin(60°)
y/(1/2) = 4√3/(1/2 √3)
y . 1/2 √3 = 4√3 . 1/2
y . 1/2 √3 = 2√3
y = 2√3 . 2/√3
y = 4√3/√3
y = 4
The answer is A.
there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?
A. 5:7
B. 7:5
C. 3:4
Answer:
eather a 5:7 or c 3:4
Step-by-step explanation:
i rlly do hope this helps and good luck
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k=______.
Answer:
5
Step-by-step explanation:
Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))
g(0) = 3
g(0) = f(0) + k
3 = -2 + k
5 = k
4. Find the area:
23 m
5 m
379m²
389m²
74m²
5 m
18 m
6 m
Answer: 379 meters squared
Step-by-step explanation:
Hello!
So, to calculate this area, we need to split it into 3 squares.
You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.
Area of a square (in this case rectangle) = Lenght multiplied by width
We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.
The first square will be the big one:
To get the length of the big square, we need to subtract 5 from 23.
Length of big square = 18 meters
And the width is also 18 meters
Area of the big square = 18 * 18 = 324 meters squared
Now, let's calculate the top left square's area.
That will be 5 meters * 5 meters.
Area of top left square = 25 meters squared.
Top right square's area = 6 meters * 5 meters.
Area of top right square = 30 meters squared
Now, we just gotta add them all up:
324 + 25 + 30 meters squared = 379 meters squared
Hope I Helped!
How do you find what exponents of i are? like I know i^2 is -1, but how are you supposed to figure out i^26? do you have to write it all out?
THANK YOU
Answer:
-1
Step-by-step explanation:
so "i" is the square root of -1 (√-1). We know that i² = (√-1)², and that when we square a square root we end back up with whatever is inside of the square root.
This is why i² = -1
We can find a pattern from writing out a few exponents:
i¹ = i
i² = -1
i³ = -i [(-1)(i)]
i⁴ = 1 [-1 · -1]
------
i⁵ = i [(1)(i)]
i⁶ = -1 [(i)(i)]
i⁷ = -i [(-1)(i)]
i⁸ = 1 [(-i)(i)= -(i²)= -(-1) = 1]
------
i⁹ = i [1 · i]
we can see that the pattern of i repeats every 4 numbers, so by dividing 26 by 4 (and finding the remainder), we can figure out which step of the pattern we are on
26 / 4 = 6 [remainder of 2]
we know that there is a remainder of 2, meaning that we are on the "second step" in the pattern: -1
you can do the same thing for any number
hope this helps!!
Answer:
-1
Step-by-step explanation:
4 goes into 26 6 times, and then there's 2 remainder, so it's the same thing as i², which is -1
hope this is helpful :)
Can someone check if my equation is correct? Thank you so much!
Answer:
yes your eqation is correct...
The vertical walls of two buildings are 50 m and 30 m tall. A vertical flagpole [XY] stands between the buildings such that B, Y, and C are collinear, and A, Y, and D are collinear. The vertical walls of two buildings are 50 m and 30 m tall . A vertical flagpole [ XY ] stands between the buildings such that B , Y , and C are collinear , and A , Y , and D are collinear . find the height of the flagpole
Answer:
which class of this exam
In your math class, there are 8 boys and 11
girls. What is the ratio of boys to total
students?
Answer: 8:19 ✅
Step-by-step explanation:
Hii, let me help you out! ^^
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ⚜ Part 1 - #of Students ⚜First we should find the total number of students. This can be done by adding the number of boys in this particular math class plus the number of girls in that same class. This is shown below.
[tex]\boldsymbol{Number\;of\,students=\quad Number\;of\;Girls+\;Number\;of\;boys}[/tex]
The number of girls is 11, and the number of boys is 8. Now, it's just a matter of sticking in the known values.
[tex]\multimap\quad \tt 8+11=19\;Students[/tex]
[tex]\large\text{Part 1 is Successfully Completed!}[/tex]
⚜Part 2 - Ratio ⚜Let's set up a ratio of boys to the total number of students.
This is shown below:
[tex]\boldsymbol{Boys:Total\:\#\;of\;students}[/tex]
Once again, this is simply a matter of sticking in the known values.
[tex]\multimap\quad \tt 8:19[/tex]
[tex]\large\text{Part 2 is Successfully Completed!}[/tex]
What's more, we found the ratio, which is what we needed! (:Voila! There's our answer, cheers! (:
____________________________________Hope I helped! Best wishes.
Reach far. Aim high, Dream big.
[tex]\underbrace[/tex]
Easy Question For Ya'll
The statements and reasons that complete the proof are:
4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]
5. ΔPQS ≅ ΔQRT [ASA congruence theorem]
What is the ASA Congruence Theorem?When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.
We are given the following:
QT ≅ PS [a pair of congruent sides]
∠T ≅ ∠S [a pair of congruent angles]
Thus, since QT is parallel to PS, therefore:
∠SPQ ≅ ∠TQR [alternate interior angles theorem]
Therefore, we can now state that ΔPQS ≅ ΔQRT based on the ASA congruence theorem.
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Answer:
HOW IS THAT EASY??!?!?!?!?!?
Step-by-step explanation:
The statements and reasons that complete the proof are:
4. ∠SPQ ≅ ∠TQR [alternate interior angles theorem]
5. ΔPQS ≅ ΔQRT [ASA congruence theorem]
What is the ASA Congruence Theorem?
When two pairs of corresponding angles and one pair of included sides of two triangles are congruent, they are congruent triangles based on the ASA congruence theorem.
We are given the following:
QT ≅ PS [a pair of congruent sides]
∠T ≅ ∠S [a pair of congruent angles]
Thus, since QT is parallel to PS, therefore:
∠SPQ ≅ ∠TQR [alternate interior angles theorem]
Therefore, we can now state that ΔPQS ≅ ΔQRT based on the ASA congruence theorem.
19% of 49 in a decimal
Answer:
[tex] 19\% \: of \: 49[/tex]
[tex] \frac{19}{100} \times 49[/tex]
[tex]0.19 \times 49[/tex]
[tex]9.13[/tex]
Answer:
39.69
Step-by-step explanation:
A percentage is on a scale of 100 so we divide 19 by 100
that makes 0.19.
Then multiply 49 with 0.19 that makes 9.31 (this is 19% of 49)
49 - 9.31 = 39.69
Girl runs across Across a rectangle field diagonal covering a distance of 120m if the length of the field is 100m calculate the width of the field to the nearest metre
Answer:
66m
Step-by-step explanation:
Answer:
66 m
Step-by-step explanation:
ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.
plug values in
100^2 + w^2 = 120^2
square known values
10,000 = w^2 = 14,400
subtract 10,000 from both sides
w^2 = 4400
take the square root
w = 66 (rounded to the nearest whole number)
in an enlargement PQ P1Q1|PQ|=3cm and|P1Q1|=15cm.Calculate the scale of the enlargement.
Answer:
374795-57770
Step-by-step explanation:
Abby uses
Find the area of the following region.
The region common to the circles r=-2sin(theta) and r=1
The area of the region common to both circles is -6.67 square units
How to find the area common to both circles?Since r = -2sinθ and r = 1, we find their points of intersection.
So, r = r
-2sinθ = 1
sinθ = -1/2
θ = sin⁻¹(-1/2)
θ = 7π/6
So, the circles intersect at (1, 7π/6)
To find the area of the region common to both circles, we integrate from r = 0 to r = 1 and θ = 0 to θ = 7π/6
[tex]A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {r - r}) \, dr \,d\alpha \\A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {-2sin\alpha - 1}) \, dr \,d\alpha \\A = -\int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0 {2sin\alpha \, dr \,d\alpha - \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _01} \, dr \,d\alpha \\A = 2[cos\alpha]_{0} ^{\frac{7\pi }{6} } [r]_{0} ^{1} r - [r]_{0} ^{1}} [\alpha ]_{0} ^{\frac{7\pi }{6}}} \\[/tex]
[tex]A = 2[cos{\frac{7\pi }{6} - cos0] [1 - 0] - ([1 - 0][\frac{7\pi }{6} - 0]\\[/tex]
A = 2(-¹/₂ - 1) - (1 × 7π/6)
A = 2(-3/2) - 7π/6
A = -3 - 7π/6
A = (-18 - 7π)/6
A = (-18 - 21.99)/6
A = -39.99/6
A = -6.67 square units
So, the area of the region common to both circles is -6.67 square units
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Which triangles are similar to ABC
Answer:
DEF
Step-by-step explanation:
it is mathematically similar as the sides have a scale factor of 4
Jocelyn is training for a race by running several miles each day. she tracks her progress by recording her average speed in minutes per mile for each day since she started training. based on the information given, what could jocelyn expect to have for her average speed on the 9th day?
Finding the regression equation, her average speed on the 9th day should be expected to be of 6.92 minutes per mile.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
Researching the problem on the internet, the values of x and y are given as follows:
Values of x: 1, 2, 3, 4, 5, 6.Values of y: 8.2, 8.1, 7.5, 7.8, 7.4, 7.5.Hence, using a calculator, the equation for the average minutes per mile after t days is given by:
V(t) = -0.15143t + 8.28
Hence, for the 9th day, t = 9, hence the estimate is:
V(9) = -0.15143(9) + 8.28 = 6.92 minutes per mile.
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A face of a suitcase measures 24 inches long and 18 inches wide. what is the diagonal length of the face?
30 in.
25 in.
20 in.
15 in.
I think the answer is 90in.
In a case whereby the face of a suitcase measures 24 inches long and 18 inches wide the diagonal length of the face is 30 in.
How can the diagonal length be calculated?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.
The suitcase measures 24 inches long and 18 inches wide
Using Pythagoras theorem,
The diagonal =[tex]\sqrt{18^{2} + 24^{2} }[/tex]
= [tex]\sqrt{900}[/tex]
=30 in.
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3.) Let t= the number of tomatoes Tye planted last year.
This year she planted 3 times as many. Write an
algebraic expression to show how many tomatoes Tye
planted this year.
Answer:
3t
Step-by-step explanation:
The algebraic expression to show the number of tomatoes Tye planted this year is 3t
How to write the algebraic expression of Tye?From the first statement given in the question, we were told that:
t is the number of tomatoes Tye planted last yearFrom the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:
Number of tomatoes planted last year = tNumber of tomatoes planted this year =?Number of tomatoes planted this year = 3 × Number of tomatoes planted last year
= 3t
Thus, from the above illustration we can say that the algebraic expression is 3t
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simplify x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y²
Answer:
x-2y/x
Step-by-step explanation:
x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x
What is the rate of change according to the table below?
x
3
4
5
6
y
21
28
35
42
Answer:
lets make this like a table
x y
3=21
4=28
5=35
so since y is bigger lets divide that by x
21/3=7
so the rate of change is 7
Hope This Helps!!!
A trader mixes 2 kg
of butter which costs $8 per kg
with 3 kg of butter which costs $6 per kg. He sells the mixture at $2.55 per 250g. Express his profit as a percentage of his selling price.
Answer:
33.3333%
Step-by-step explanation:
Total number of kg- 2+3=5
Total money- (2×8)=16
(3×6)=18
16+18=34
$34=5000g
=250g
(250×$34)÷5000=$1.7
profit-2.55-1.7=0.85
(0.85/2.55)×100=33.333%
Select the correct answer.
The radius of the ball bearings produced at a factory must be 1.25 centimeters, with a tolerance of 0.1 centimeter. Which equation can be used
to find the minimum and maximum radil accepted? (Assume rrepresents the actual radius of any given ball bearing.)
OA /r-1.25/= 0.1
OB. 11.25r-1.25/= 0.1
OC. /r-0.1/= 1.25
OD. /r-0.1r/= 1.25
The absolute value equation that can be used to find the minimum and maximum radius accepted is:
A. |r - 1.25| = 0.1.
What is the absolute value?The absolute value function is defined as follows:
[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.
In this problem, the absolute value of the difference between the radius and 1.25 cm must be of 0.1 to find the thresholds, hence the equation is:
A. |r - 1.25| = 0.1.
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the scale on a map is 1 cm to 2 cm what is the actual distance between two town if the distance on the map is 5.5
If the distance on the map is 5.5 cm. Then the actual distance between two town will be 11 miles.
The complete question is given below.
The scale on a map is 1 cm to 2 miles. What is the actual distance between two town if the distance on the map is 5.5 cm.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
The scale on a map is 1 cm to 2 miles.
If the distance on the map is 5.5 cm.
Then the actual distance between two town will be
⇒ 5.5 cm = 5.5 × 2 miles
⇒ 5.5 cm = 11 miles
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The shorter leg of a right triangle is 5cm shorter than the longer leg. The hypotenuse is 5cm longer than the longer leg. Find the side lengths of the triangle.
Answer:
15, 20, 25
Step-by-step explanation:
added in the picture
3. Find the value of √99225. Hence find the sum of √992.25 and √9.9225.
Step-by-step explanation:
The square root of √9.9225. is 315.
See the decimal places
therefore S,Q,R,T of 9.9225 is 31.5 and 9.9225 is 3.15.
Hence the sum, is (31.5+3.15)= 34.65.
Answer- Value- 315
Sum-34.65
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